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摘要: |
本文研究了复射影空间中的全实子流形.通过使用活动标架的方法和DDVV不等式,得到了两个刚性定理和一个积分不等式,改进了相关的结果. |
关键词: 复射影空间 伪脐子流形 截面曲率 |
DOI: |
分类号:O186.12 |
基金项目:Supported by National Natural Science Foundation of China (11101352);Natural Science Foundation of Anhui Educational Committee (KJ2013Z263);Provincial Natural Science Research Programme Foundation of Anhui's Universities (2014KJ002) |
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THE RIGIDITY OF TOTALLY REAL SUBMANIFOLDS IN A COMPLEX PROJECTIVE SPACE |
ZHOU Jun-dong,XU Chuan-you,SONG Wei-dong
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Abstract: |
In this paper, we investigate totally real submanifolds in a complex projective space. By using moving-frame method and the DDVV inequality, we obtain two rigidity theorems and an integral inequality, improve the related results. |
Key words: complex projective space pseudo-umbilical submanifolds sectional curvature |